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Finding the Fourth Proportional to 11,616, 16,029.48 and 6,310.68

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Solution

The fourth proportional to 11,616, 16,029.48 and 6,310.68 is: 8,708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616 : 16,029.48 = 6,310.68 : x
  2. Step 2: Convert to fraction form
    11,616/16,029.48 = 6,310.68/x
  3. Step 3: Cross multiply
    11,616x = 16,029.48 × 6,310.68
  4. Step 4: Simplify right side
    11,616x = 101,156,918.85
  5. Step 5: Solve for x
    x = 101,156,918.85/11,616
  6. Step 6: Final answer
    x = 8,708.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.